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3 years ago

How to find the shaded region of a circle with a rectangle inside?

1 answer:

8 0

You would start by finding the area of the circle and then finding the area of the rectangle. After finding both, subtract the area of the rectangle from that of the circle. <span />

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Jodi and mariah are sisters. jodi is three years older than mariah. using one variable, write an expression to represent the sum

lapo4ka [179]

Mariah =X
Jodi= X+3

X+X+3= 2X+3

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3 years ago

Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.

Nastasia [14]

$\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})$

$\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}$

7 0

2 years ago

Read 2 more answers

The sum of two consecutive natural numbers is 525.<br> Find the numbers.

Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. ( $|x-y| = 1$ , $\forall\,x,y \in \mathbb{N}$ ) We can interpret the statement mathematically by means of the following expression:

$x + y = 525$

$x = n$

$y = n+1$

Where $x$ , $y$ , $n$ $\in \mathbb{N}$ .

This system is reduced to a single equation and solved afterwards:

$n +(n+1) = 525$

$2\cdot n + 1 = 525$

$2\cdot n = 524$

$n = 262$

Now we evaluate $x$ and $y$ to obtain the natural numbers:

$x = 262$

$y = 263$

262 and 263 are consecutive natural numbers whose sum is 525.

3 0

3 years ago

Find the lentgh of the missing side

adell [148]

Answer:

8 is missinn

8 ixxdxx

8 0

2 years ago

The sum of two numbers is six, and the difference is 10. Find the numbers.

pashok25 [27]

First no. = x
Second no. = y

Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)

x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
y = -2

x = 6 + 2
x = 8

Answer = 8 , -2

3 0

2 years ago